So indeed the officers are like stepping on the circular thing or next to it when they inform vader right?(probably next to it because they both are from the right side of it)

So that leads why vader went from his chamber to the spot and didnt came directly from the door . Its like entered the door, entered the chamber, came out from the chamber to push the big button on the floor.

Flawless logic :P

Or it might be at the end the supposed deleted scene of ROTJ would be the previous shot of vader walks out of the chamber.... who knows

Speaking of chambers and doors.

Ady did you considered the idea of making the door leading to vader be longer and more isolate rather is next to a populate hall?

(dont mind the reflection its an old mockup:)

-Angel